Caculate the work done when a force of 20N strecthes a spring by 50mm

0.5J

0.5j

To calculate the work done when a force stretches a spring, you need to use the formula:

Work (W) = (1/2) * k * x^2

Where:
W = Work done
k = Spring constant
x = Amount of stretching or compression of the spring

In this case, you are given the force (F) and the amount of stretching (x). To find the spring constant (k), you need to rearrange Hooke's law equation:

F = k * x

Rearranging the equation, you can find k:

k = F / x

Now, you can substitute the values into the formula for work:

W = (1/2) * (F / x) * x^2

W = (1/2) * F * x

W = (1/2) * 20N * 0.05m

W = 0.5 Joules

Therefore, the work done when a force of 20N stretches a spring by 50mm is 0.5 Joules.

F=kx

k=F/x
W=ΔPE= kx²/2=Fx²/2x= Fx/2=20•0.05/2=0.5 J